How does adding the log together automatically mean that it is a factorial?

Answers

Answer 1

Answer:

Answer: The answer is given below.

Step-by-step explanation: We are given an equality involving logarithm and we are to show the implication of L.H.S. to R.H.S.

We will be using the following two properties of logarithm:

$(i)~\log_ba=(1)/(\log_ab),\n\n\n(ii)~log_ab+\log_ac=\log_a(bc).$

The proof is as follows:

$L.H.S.\n\n\n=(1)/(\log_2N)+(1)/(\log_3N)+(1)/(\log_4N)+\cdots+(1)/(\log_(100)N)\n\n\n=\log_N2+\logN3+\log_N4+\cdots+\log_N100\n\n=\log_N\{2.3.4...100\}\n\n=\log_N\{1.2.3.4...100\}\n\n=\log_N{100!}\n\n=(1)/(\log_(100!)N)\n\n=R.H.S.$

Hence proved.

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What is the answer? Solve for v if it isn’t there.

Answers

I believe the answer would be (v = 8)

Answer:

v=8

Step-by-step explanation:

9(3+c+4) use distributive property to simplify the expression

Answers

The resultant of the given expression 9(3+c+4) using distributive property will be 63 + 9c.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given expression,

9(3+c+4)

⇒ 9(7+c)

By using distribution property,

⇒ 9(7)+9c

⇒63+9c

Hence "The resultant of the given expression 9(3+c+4) using distributive property will be 63 + 9c".

To learn more about expression,

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9(3+c+4)

9(7+c)

9(7)+9c

Answer:

63+9c

Help with #11 and pls show me work so I know how u did it

Answers

from experience, you do not always increse the ingredients proportinally or else you will get some srprise

but this rpblem assumes that

basically
since 2 and 1/3 increased to 7
we have to increase flour also
by how much?

2 and 1/3 times how many=7
7/3 times what=7
multpily both sides by 3/7 to clea fraction
what=21/7
what=3 times

so flour has to increase by 3 time aslso
2=orignal flour
2*3=6
flowur is now 6

B
another way is
(2 and 1/3)/7=2/x
solve for x

B is anser

A cyclist planned to ride 9 1/2 miles but only managed to travel 3 7/8 miles. What fraction of his planned trip did he travel?Can anyone help with this please?

Answers

Answer:

$(31)/(76)$

Step-by-step explanation:

We know that a cyclist wanted to ride $9(1)/(2)$ miles but only managed to travel $3(7)/(8)$ and we want to know what fraction he actually travelled so we have to divide the two fractions so

$3(7)/(8)$ ÷ $9(1)/(2)$

→ First convert to improper fractions

$(31)/(8)$ ÷ $(19)/(2)$

→ Because it's dividing fractions we have to remember the rule of flipping the second fraction so then it becomes a multiplication

$(31)/(8)$ × $(2)/(19)$

→ Simplify

$(31)/(76)$

So the cyclist had travelled only $(31)/(76)$ of his planned trip

Answer:

The cyclist traveled 31/76 of his planned trip.

An angle measures 64° more than the measure of a complementary angle. What is the measure of each angle?

Answers

Complementary angles are 90 degrees,so if the angle is 64 degrees more,you just only have to add 90+64=154.

The measure of the angle is 154 degrees

Hope i helped.

Remember:complimentary angles add up to 90 while supplementary angles add up to 180.

Final answer:

The two angles are 13 degrees and 77 degrees respectively. Since they are complementary, they add together to make a total of 90 degrees.

Explanation:

In this question, we are seeking the measure of two angles. These angles are complementary, meaning together they add up to 90 degrees. Let's denote the first angle as 'x' and the second angle (which is 64 degrees more than the first) as 'x+64'.

Since they are complementary, this indicates that:

x + (x + 64) = 90

This simplifies into:

2x + 64 = 90

We can then subtract 64 from both sides, giving:

2x = 90 - 64, so 2x = 26

Therefore, if we divide both sides by 2 to isolate 'x', we get:

x = 13

So, the first angle measures 13 degrees. The second angle, as specified in the question, is 64 more than the first angle, so it measures:

x + 64 = 13 + 64 = 77 degrees

Result:

The first angle measures 13 degrees and the second angle measures 77 degrees.

Learn more about Complementary Angles here:

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Please find a solution to this

Answers

The correct answer is B. 1100 cm³ This is because the volume of each CD is 110 * 0.1, what is 11 cm³. If the container can carry 100 CDs when full, the answer is equals to the volume of the CDs, 11, times the number of CDs, 100. 11 * 100 = 1100, our answer is B.

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Round 287.63 to the nearest whole number.

Could someone help out? Awarding 25 points for this. :)If 15% of n = 75 then n = ?

I don’t really understand this type of stuff so please help.